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Finding the Fourth Proportional to 835.71, 1,152.80 and 573.27

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Solution

The fourth proportional to 835.71, 1,152.80 and 573.27 is: 790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.71 : 1,152.80 = 573.27 : x
  2. Step 2: Convert to fraction form
    835.71/1,152.80 = 573.27/x
  3. Step 3: Cross multiply
    835.71x = 1,152.80 × 573.27
  4. Step 4: Simplify right side
    835.71x = 660,862.79
  5. Step 5: Solve for x
    x = 660,862.79/835.71
  6. Step 6: Final answer
    x = 790.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.